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Question

In a city 20% of the population travel by car, 50% travel by bus and 10% travel by both car and bus. The percentage of the population traveling by car or bus is ____.


A

80 percent

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B

40 percent

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C

60 percent

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D

70 percent

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Solution

The correct option is C

60 percent


Given that, n(C) = 20%, n(B) = 50%, n(C ∩ B) = 10%

Population who travel by car or bus is represented by n(C ∪ B)

We know, n(C ∪ B) = n(C) + n(B) - n(C ∩ B)

= 20% + 50% - 10%

= 60%

Hence 60% of the population travel by car or bus.


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